Theory and Design for Mechanical Measurements
6th Edition
ISBN: 9781118881279
Author: Richard S. Figliola, Donald E. Beasley
Publisher: WILEY
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 10, Problem 10.33P
A thermal mass flow meter is used to meter 30 °C air flow through a 2-cm-i.d. pipe. If 25 W of power are required to maintain a 1 °C temperature rise across the meter, estimate the mass flow rate through the meter. Clearly state any assumptions. cp= 1.006 kJ/kg-K.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The feed flow rate to an adiabatic continuous stirred tank reactor (CSTR) in which an exothermicreaction is occurring is increased from 1000 to 1400. kg/h, causing the outlet temperature to change as shown:a) Briefly explain on a physical basis why the temperature in this system oscillates after a step increasein the inlet flow rate. Be clear, complete, and concise. c) You know that this oscillating response cannot be that of two first order processes with real timeconstant acting in series. Assuming the reaction is first order and the CSTR operates with constant holdup,derive the block diagram with all transfer functions indicating how the temperature would respond to the feedflow rate step change (W’(s) as input and T’(s) as output). An intermediate variable in this block diagram willbe the concentration of A in the reactor, represented by CA’(s). d) A correct result for part c) will include a feedback loop in the block diagram, indicating the responsein T to a change in w is not…
Spur gears
Note : Exam is open notes &tables / Answer all questions.
Q.1. The press shown for Figure.1 has a rated load
of 22 kN. The twin screws have double start Acme
threads, a diameter of 50 mm, and a pitch of 6 mm.
Coefficients of friction are 0.05 for the threads and
0.08 for the collar bearings. Collar diameters are 90
mm. The gears have an efficiency of 95 percent and a
speed ratio of 60:1. A slip clutch, on the motor shaft,
prevents overloading. The full-load motor speed is
1720 rev/min.
(a) When the motor is turned on, how fast will the
press head move? (Vm= , Vser. =
)
(5M)
(b) What should be the horsepower rating of the
motor? (TR=, Tc= Pser. =
"
Bronze
bushings
Foot
Motor
Bearings
watt, Pm= watt, Pm= h.p.) (20M)
2['s
Fig.1
Worm
Collar
bearing
Problem 2 (55 pts). We now consider the FEM solution of Problem 1.(a) [5pts] Briefly describe the 4 steps necessary to obtain the approximate solution of thatBVP using the Galerkin FEM. Use the minimum amount of math necessary to supportyour explanations.(b) [20pts] Derive the weak form of the BVP.(c) [10pts] Assuming a mesh of two equal elements and linear shape functions, sketch byhand how you expect the FEM solution to look like. Also sketch the analytical solutionfor comparison. In your sketch, identify the nodal degrees of freedom that the FEMsolution seeks to find.(d) [10pts] By analogy with the elastic rod problem and heat conduction problem considered in class, write down the stiffness matrix and force vector for each of the twoelements considered in (c).(e) [10pts] Assemble the global system of equations, and verbally explain how to solve it.
Chapter 10 Solutions
Theory and Design for Mechanical Measurements
Ch. 10 - Prob. 10.1PCh. 10 - A 20-cm-i.d. pipe through which 10 °C air flows is...Ch. 10 - What is the best estimate of the pipe flow rate...Ch. 10 - A mercury-filled (S = 13.57) manometer is used in...Ch. 10 - A capacitance pressure transducer is used to...Ch. 10 - Estimate the expansion factor in measuring the...Ch. 10 - The Reynolds number of a fluid flowing through a...Ch. 10 - At what flow rate of 20 °C water through a 10-cm-...Ch. 10 - Water (25 °C) flows through a square-edged orifice...Ch. 10 - An orifice plate is installed to meter air flow in...
Ch. 10 - Determine the flow rate of 38 °C air through a...Ch. 10 - A square-edged orifice (p = 0.5) is used to meter...Ch. 10 - Size a suitable orifice plate to meter the steady...Ch. 10 - An in-line flow nozzle is to be used to measure...Ch. 10 - A cast venturi meter is to be used to meter the...Ch. 10 - For 120 ft3/m of 60 °F water flowing through a...Ch. 10 - Estimate the flow rate of water through a...Ch. 10 - A 2-in. (50.8 ram) diameter orifice plate is...Ch. 10 - In order to measure the flow rate ina2mx2mair...Ch. 10 - A flow nozzle is to be used at choked conditions...Ch. 10 - Compute the flow rate of 20 °C air through a 0.5-m...Ch. 10 - An ASME long radius nozzle (P = 0.5) is to be used...Ch. 10 - A square-edged orifice plate is selected to meter...Ch. 10 - Estimate the error contribution to the uncertainty...Ch. 10 - For Problem 10.24, suppose the air flow rate is 17...Ch. 10 - An application uses water flowing at up to...Ch. 10 - Dry air at a static pressure and temperature of...Ch. 10 - Dry air at a stagnation pressure and temperature...Ch. 10 - A sonic nozzle can be used to regulate flow rate...Ch. 10 - Select an appropriate range for a differential...Ch. 10 - From a vendor catalog or online site, select a...Ch. 10 - A vortex flow meter uses a shcdder having a...Ch. 10 - A thermal mass flow meter is used to meter 30 °C...Ch. 10 - Research available thermal mass flow meters...Ch. 10 - Fuel oil used in large sea vessels is known as...Ch. 10 - Estimate an uncertainty in the determined flow...Ch. 10 - A thermal mass flow meter is used to meter air in...Ch. 10 - A vortex meter is to use a shedder having a...Ch. 10 - An engineer has an application of water at 20 °C...Ch. 10 - The flow of air is measured to be 30 m3/min at 50...Ch. 10 - A 6 in. x 4 in. i.d. cast venturi is used to...Ch. 10 - A simple method to measure volume flow rate is to...Ch. 10 - In the problem 10.42, suppose volume can be...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- An aluminum rod of length L = 1m has mass density ρ = 2700 kgm3 andYoung’s modulus E = 70GPa. The rod is fixed at both ends. The exactnatural eigenfrequencies of the rod are ωexactn =πnLqEρfor n=1,2,3,. . . .1. What is the minimum number of linear elements necessary todetermine the fundamental frequency ω1 of the system? Discretizethe rod in that many elements of equal length, assemble the globalsystem of equations KU = ω2MU, and find the fundamentalfrequency ω1. Compute the relative error e1 = (ω1 − ωexact1)/ωexact1.Sketch the fundamental mode of vibration.arrow_forwardProblem 1 (65 pts, suggested time 50 mins). An elastic string of constant line tension1T is pinned at x = 0 and x = L. A constant distributed vertical force per unit length p(with units N/m) is applied to the string. Under this force, the string deflects by an amountv(x) from its undeformed (horizontal) state, as shown in the figure below.The PDE describing mechanical equilibrium for the string isddx Tdvdx− p = 0 . (1)(a) [5pts] Identify the BCs for the string and identify their type (essential/natural). Writedown the strong-form BVP for the string, including PDE and BCs.(b) [10pts] Find the analytical solution of the BVP in (a). Compute the exact deflectionof the midpoint v(L/2).(c) [15pts] Derive the weak-form BVP.(d) [5pts] What is the minimum number of linear elements necessary to compute the deflection of the midpoint?(e) [15pts] Write down the element stiffness matrix and the element force vector for eachelement.arrow_forwardProblem 1 (35 pts). An elastic string of constant line tension1 T is pinned at x = 0 andx = L. A constant distributed vertical force per unit length p (with units N/m) is appliedto the string. Under this force, the string deflects by an amount v(x) from its undeformed(horizontal) state, as shown in the figure below.Force equilibrium in the string requires thatdfdx − p = 0 , (1)where f(x) is the internal vertical force in the string, which is given byf = Tdvdx . (2)(a) [10pts] Write down the BVP (strong form) that the string deflection v(x) must satisfy.(b) [2pts] What order is the governing PDE in the BVP of (a)?(c) [3pts] Identify the type (essential/natural) of each boundary condition in (a).(d) [20pts] Find the analytical solution of the BVP in (a).arrow_forward
- Problem 2 (25 pts, (suggested time 15 mins). An elastic string of line tension T andmass per unit length µ is pinned at x = 0 and x = L. The string is free to vibrate, and itsfirst vibration mode is shown below.In order to find the frequency of the first mode (or fundamental frequency), the string isdiscretized into a certain number of linear elements. The stiffness and mass matrices of thei-th element are, respectivelyESMi =TLi1 −1−1 1 EMMi =Liµ62 11 2 . (2)(a) [5pts] What is the minimum number of linear elements necessary to compute the fundamental frequency of the vibrating string?(b) [20pts] Assemble the global eigenvalue problem and find the fundamental frequency ofvibration of the stringarrow_forwardI need part all parts please in detail (including f)arrow_forwardProblem 3 (10 pts, suggested time 5 mins). In class we considered the mutiphysics problem of thermal stresses in a rod. When using linear shape functions, we found that the stress in the rod is affected by unphysical oscillations like in the following plot E*(ux-a*T) 35000 30000 25000 20000 15000 10000 5000 -5000 -10000 0 Line Graph: E*(ux-a*T) MULT 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Arc length (a) [10pts] What is the origin of this issue and how can we fix it?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Hydronics Step by Step; Author: Taco Comfort Solutions;https://www.youtube.com/watch?v=-XGNl9kppR8;License: Standard Youtube License